Scale invariance : self-similarity of the physical world /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Henriksen, R. N. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Weinheim, Germany : Wiley-VCH Verlag GmbH & Co. KGaA, 2015.
Edición:First edition.
Temas:
Scaling laws (Statistical physics)
Lois d'échelle (Physique statistique)
SCIENCE > Energy.
SCIENCE > Mechanics > General.
SCIENCE > Physics > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Contents
  • Preface
  • Acknowledgments
  • Introduction
  • Chapter 1 Arbitrary Measures of the Physical World
  • 1.1 Similarity
  • 1.2 Dimensional Similarity
  • 1.3 Physical Equations and the 'Pi' Theorem
  • 1.4 Applications of the Pi Theorem
  • 1.4.1 Plane Pendulum 1.4.2 Pipe Flow of a Fluid
  • 1.4.3 Steady Motion of a Rigid Object in Viscous 'Fluid'
  • 1.4.4 Diffusion and Self-Similarity
  • 1.4.5 Ship Wave Drag
  • 1.4.6 Adiabatic Gas Flow
  • 1.4.7 Time-Dependent Adiabatic Flow
  • 1.4.8 Point Explosion in a Gaseous Medium 1.4.9 Applications in Fundamental Physics
  • 1.4.10 Drag on a Flexible Object in Steady Motion
  • 1.4.11 Dimensional Analysis of Mammals
  • 1.4.12 Trees
  • References
  • Chapter 2 Lie Groups and Scaling Symmetry
  • 2.1 The Rescaling Group 2.1.1 Rescaling Physical Objects
  • 2.1.2 Reconciliation with the Buckingham Pi Theorem
  • 2.1.3 Rescaling and Self-Similarity as a Lie Algebra
  • 2.1.4 Practical Lie Self-Similarity
  • 2.2 Familiar Physical Examples
  • 2.2.1 Line Vortex Diffusion: Reprise 2.2.2 Burgers' Equation
  • 2.3 Less Familiar Examples
  • 2.3.1 Self-Gravitating Collisionless Particles: The Boltzmann-Poisson Problem
  • References
  • Chapter 3 Poincaré Group Plus Rescaling Group
  • 3.1 Galilean Space-Time
  • 3.2 Minkowski Space-Time

Ejemplares similares